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What is the Least Common Multiple of 6273 and 6287?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6273 and 6287 is 39438351.

LCM(6273,6287) = 39438351

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Least Common Multiple of 6273 and 6287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6273 and 6287, than apply into the LCM equation.

GCF(6273,6287) = 1
LCM(6273,6287) = ( 6273 × 6287) / 1
LCM(6273,6287) = 39438351 / 1
LCM(6273,6287) = 39438351

Least Common Multiple (LCM) of 6273 and 6287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6273 and 6287. First we will calculate the prime factors of 6273 and 6287.

Prime Factorization of 6273

Prime factors of 6273 are 3, 17, 41. Prime factorization of 6273 in exponential form is:

6273 = 32 × 171 × 411

Prime Factorization of 6287

Prime factors of 6287 are 6287. Prime factorization of 6287 in exponential form is:

6287 = 62871

Now multiplying the highest exponent prime factors to calculate the LCM of 6273 and 6287.

LCM(6273,6287) = 32 × 171 × 411 × 62871
LCM(6273,6287) = 39438351